Can We Change the Origin in the xy Plane?

LagrangeEuler
Messages
711
Reaction score
22
Almost always in xy plane we take that origin is ##(0,0)##. Is it possible to take that origin is in the point ##(1,1)##, or some other point?
 
Mathematics news on Phys.org
The point (0,0) is called origin. That is just a definition. It does not make sense to give another point the same name.
 
If I want to use some translation in x-axis I need more then one coordinate system, for example. So origin of first system for instance is ##(0,0)## and for second is ##(2,0)##?
 
The origin of the second system is at ##(2,0)## in the coordinates of the first system, but using the coordinates of the second system the origin, by definition, is at ##(0,0)##. As mfb said, it doesn't make sense to use the term to apply to some other point in the coordinate system.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

I Expressing any given point on plane with one unique number
Replies
4
Views
2K
MHB Which point is farther from the origin?
Replies
2
Views
2K
Lifting a square tile by one of its corners
Replies
10
Views
2K
I Closest point on a plane to a point near the plane
Replies
6
Views
3K
B Invariant under rotation: Banal, obvious, or noteworthy?
Replies
2
Views
2K
MHB What is the Maximum Inclination of a 3D Plane and its Equation in the XY Plane?
Replies
1
Views
2K
I Finding vertex of a 3D Triangle on a Plane
Replies
3
Views
2K
I Spherical trig - sphere radius from 6 lengths
Replies
8
Views
2K
B How to draw a plane intersecting a cylinder at a "compound angle"
Replies
8
Views
3K
I How can you represent a point by "z = x + iy" as shown here?
Replies
10
Views
2K

Hot Threads

Recent Insights

Back
Top